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Hey, Jasmine. Today I would like to give you an equation for you to solve.
Sure Jack, I love math equations
Okay, the math is equation that I would like for you to solve is 2/6(x+2)+5=-2/3(x-9)-8
Okay, lets go to the study room so I can sit down.
....Jasmine goes to the study room and starts solving the equation in front of Jack
2/6(x+2)+5= -2/3(x-9)-84/12(x+2)+5= -8/12(x-9)-812*4/12(x+2)+5= 12*-8/12(x-9)-84(x+2)+5= -8(x-9)-84x+8+5= -8x+72-84x-8x=72-8+8+5-4x=77x= -77/4
However, when you multiply 12 with the fraction in order to get rid of the denominator, you have to multiply all the numbers in that line by 12
For this equation you made 2 big mistakes.Number 1: Its common knowledge that you need to get rid of the
as well. Example shown below: 12*(4(x+2))/12 All the variables and numbers in those brackets are multiplied by 12
You were close, however you made a few mistakes. I will teach you how to properly solve that type of equation.
denominators on fractions before you can start solving the equation. You chose 12 as your lowest common multiple and that was done nicely.
Meaning, -8*12 =-96. The final equation for the right side should have been -8x+72-96.
However it eventually gets cancelled out due to the numbers and variables getting divided by 12.
In your case, you missed the chance to multiply 5 by 12, resulting in a incorrect equation for the left side.
The final equation for the left side should have been 4x+8+60Since 5*12 is 60. This also applies to the right side.
When you move positive variables from the right side to the left side, they become negative. Vice versa.
The second mistake was near the end. You have to sort the variables to the left side and the numbers to the right side.
When you move negative numbers from the left side to the right side, they become positive. This also applies to variables.
What this means is that when you move numbers that are positive from the left side to the right side, it becomes negative.
Instead of 4x-8x=72-8+8+5,It should have been 4x+8x=72-96-8-60.
The = sign in the equation differentiates the left side and right side of the equation.
The correct solution for this equation....
2/6(x+2)+5= -2/3(x-9)-84/12(x+2)+5= -8/12(x-9)-812*4/12(x+2)+5= 12*-8/12(x-9)-84(x+2)+60= -8(x-9) - 964x+8+60= -8x+72-964x+8x=72-96-8-6012x=-92x=-92/12Orx= -23/3Or-7 2/3